slope intercept form

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Class notes that review finding slope and writing equations in slope-intercept form

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Page 1: Slope Intercept Form

Today’s ObjectiveTo be able

graph equations.

Page 2: Slope Intercept Form

Linear Graphs:•An equation whose graph is

a straight line.•“Relationship is linear”

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Page 3: Slope Intercept Form

Nonlinear Graph:

•An equation whose graph is NOT a straight line.

Random Data

02468101214

0 2 4 6 8 10

Page 4: Slope Intercept Form

Steps to Graph:•Make Table •Plug in X to find Y •Draw Coordinate Plane

Page 5: Slope Intercept Form

Today’s Objective:SWBAT find

the slope of a line.

Page 6: Slope Intercept Form

SLOPE•Measures a line’s steepness.

Page 7: Slope Intercept Form

Where do we see slope? • S taircase/Escalators• Wheelchair Ramps• S ki/S now/S kateboard

Parks Jumps• A rchitects, B uilders,

Contractors, Inspectors

Page 8: Slope Intercept Form

SLOPE•The ratio of the vertical change to the horizontal change along a line.

Page 9: Slope Intercept Form

SLOPE =RISE

(V ertical Change)RUN

(Horizontal Change)

Page 10: Slope Intercept Form

Rise- Vertical (7-5 = 2) Run- Horizontal (3-2 = 1) Slope = Rise / Run = 2/1=2

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0 1 2 3 4 5

(2,5)

(3,7)Rise = 2

Run = 1

Page 11: Slope Intercept Form

Today’s Objective:SWBAT write an equation in slope intercept form.

Page 12: Slope Intercept Form

SLOPE-INTERCEPT FORM

y=mx+bSLOPE Y-

Intercept

Page 13: Slope Intercept Form

What is the Y-INTERCEPT?y=mx+b “b” is the variable that

represents the y-intercept. The y-intercept is found by

looking at the graph to find where it crosses the y-axis.

Page 14: Slope Intercept Form

What is the y-intercept?

Page 15: Slope Intercept Form

The y-intecept is?

b=2

Page 16: Slope Intercept Form

Write an Equation:

•m = -3•b = 5

Page 17: Slope Intercept Form

Equation:

y=mx+by=-3x+5

Page 18: Slope Intercept Form

What’s the Equation?

Find the slope and then find the y-intercept

Page 19: Slope Intercept Form

The equation is…y= -½x+2m(slope)= -½

b(y-intercept)= 2